A dedicated hardware system is developed for a recent class of nonlinear hybrid filters called Order StatisticsRational Hybrid Filters (OSRHF). The performance of these filters is also studied and compared against three effective nonlinear filters from the literature. The application at hand is noise filtering in grey level images. The proposed hardware system uses a residue number system (RNS)...

A numerical method for solving nonlinear mixed Hammerstein integral equations is presented in this paper. The method is based upon hybrid of rationalized Haar functions approximations. The properties of hybrid functions which are the combinations of block-pulse functions and rationalized Haar functions are first presented. The Newton-Cotes nodes and Newton-Cotes integration method are then util...

We consider the control problem of a Variable Configuration CO2 Removal system, which exhibits a hybrid dynamical character due to various operating modes of the system. The objective of the control problem is to track a desired concentration profile of CO2 and O2 in a crew cabin while keeping their concentrations within permissible bounds. We present a novel adaptation of the model predictive ...

Gene regulatory networks (GRNs) represent complex nonlinear coupled dynamical systems that models gene functions and regulations at the system level. Previous research has described GRNs as coupled nonlinear systems under parametric perturbations without considering the important aspect of stochasticity. However, a realistic model of a GRN is that of a hybrid stochastic retarded system that rep...

We recall a previous general result of weak stabilization for an abstract second order evolution equation damped by a nonlinear nonmonotone feedback. We apply it to deduce strong stabilization of hybrid systems without global monotonicity.

Abstract: The problem of state observation, based on sampled output measurements, is addressed for a class of nonlinear state-affine systems. The difficulty lies in the fact that the state equation involve the undisturbed output with unknown parameters. A hybrid adaptive observer is designed and formally analysed. Sufficient conditions are established for the observer to be exponentially conver...

This paper is concerned with the stability analysis and semistability theorems for delay impulsive systems having a continuum of equilibria. We relate stability and semistability to the classical concepts of system storage functions to impulsive systems providing a generalized hybrid system energy interpretation in terms of storage energy. We show a set of Lyapunov-based sufficient conditions f...

We consider a nonlinear ordinary differential equation and want to control its behavior so that it reaches a target by minimizing a cost function. Our approach is to use hybrid systems to solve this problem: the complex dynamic is replaced by piecewise affine approximations which allow an analytical resolution. The sequence of affine models then forms a sequence of states of a hybrid automaton....

Abstract—The design and implementation of the hybrid control method for a three-pole active magnetic bearing (AMB) is proposed in this paper. The system is inherently nonlinear and conventional nonlinear controllers are a little complicated, while the proposed hybrid controller has a piecewise linear form, i.e. linear in each subregion. A state-feedback hybrid controller is designed in this stu...